(a) From the graph of Maxwell distribution of speeds in Fig. 3D.6, estimate the most probable speed of the molecules for each molar mass.

(b) What happens to the fraction of molecules having a speed in the narrow range Δv centered on the most probable speed, v_mp, as the molar mass of the gas increases (Eq. 8)?

Fig. 3D.6

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0.004 0.003 Fraction, f(u)/(m-.s) 0.002 0.001 100 g-mol- 25 g-mol- 50 g.mol- 100 200 300 400 500 600 Speed, v/(m-s-)